Lipót Fejér (1880-1959)
-
Alternative spelling: Fejer
- Szegö, G., The contribution of L. Fejér to the
constructive
function theory, in Proceedings of the Conference on Constructive
Theory of Functions, edited by G. Alexitis, S. B. Stechkin,
pp. 19-26, Budapest, 1972.
- Fejér, L.,
Sur les fonctions bornees et
integrables, Comptes Rendus Hebdomadaries, Seances de l'Academie de
Sciences, Paris, 131 (1900), 984-987
(in equation (2), 1/2 cos --> 1/2 + cos). This fundamental paper
formed the basis of Fejér's doctoral thesis obtained in 1902 from the
University of Budapest, under the supervision of H. A. Schwarz. Fejér was
20 years old when this paper appeared. The paper contains the "classic"
theorem on Cesaro (C,1) summability of Fourier series, thus providing a
direct constructive proof of Weierstrass' Theorem.
- Fejér, L., Über
Interpolation, Nachrichten der Gesellschaft der Wissenschaften zu
Göttingen Mathematisch-physikalische Klasse, 1916, 66-91. This is
where Fejer introduced what we now call the Hermite-Fejer Interpolation
operator (based on the zeros of the Chebyshev polynomial), and proved the
uniform convergence of the sequence of these polynomials to the function
being interpolated.
